Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises - Page 21: 50

Answer

The graph for $g(x) = ||x| - 1|$

Work Step by Step

$g(x) = ||x| - 1|$ $g(-2)=||-2| - 1|$ ⇒ $h(-2)=1$ $g(-1)=||-1| - 1|$ ⇒ $h(-1)=0$ $g(0)=||0| - 1|$ ⇒ $h(0)=1$ $g(1)=||1| - 1|$ ⇒ $h(1)=0$ $g(2)=||2| - 1|$ ⇒ $h(2)=1$ Plot the set of points: $(-2,1)$, $(-1,0)$, $(0,1)$, $(1,0)$, $(2,1)$
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